The number of possible matrices of order 2 × 2 with each entry 0 or 1 or 2 is:
Answer & explanation
Correct answer: option 3
In a 2 × 2 matrix, the total number of elements present are 4. Each element can be replaced with either 1 or 0 or 2. Thus, there are (3) ways of filling each of the 4 spaces.
Thus the total number of such matrices will be ⇒ (3)4 = 3 × 3 × 3 × 3 matrices.
Therefore, the number of possible matrix of 2 × 2 order with each entry as 0 or 1 or 2 is equal to 81.